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Finding the Third Proportional to 3,438.07 and 8,022.80

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Solution

The third proportional to 3,438.07 and 8,022.80 is: 18,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.07 : 8,022.80 = 8,022.80 : x
  2. Step 2: Convert to fraction form
    3,438.07/8,022.80 = 8,022.80/x
  3. Step 3: Cross multiply
    3,438.07x = 8,022.80 × 8,022.80
  4. Step 4: Simplify right side
    3,438.07x = 64,365,269.70
  5. Step 5: Solve for x
    x = 64,365,269.70/3,438.07
  6. Step 6: Final answer
    x = 18,721.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.